| 多时滞Cohen-Grossberg神经网络鲁棒稳定性的新判据 |
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| 引用本文： | 季策,张化光,关焕新.多时滞Cohen-Grossberg神经网络鲁棒稳定性的新判据[J].电子学报,2007,35(1):135-140. |
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| 作者姓名： | 季策 张化光 关焕新 |
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| 作者单位： | 东北大学信息科学与工程学院,沈阳辽宁,110004;东北大学信息科学与工程学院,沈阳辽宁,110004;东北大学信息科学与工程学院,沈阳辽宁,110004 |
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| 基金项目： | 国家自然科学基金，教育部长江学者和创新团队发展计划 |
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| 摘 要： | 分析了一类具有多时滞及参数摄动的Cohen-Grossberg神经网络的全局鲁棒稳定性.通过构造适当的Lyapunov泛函,以线性矩阵不等式形式给出了平衡点全局鲁棒稳定的判据.此外,所有结论的建立都不需要假定互连矩阵的对称性及激活函数的可微性和单调性.仿真结果进一步证明了结论的有效性.
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| 关 键 词： | Cohen-Grossberg神经网络 多时滞 参数摄动 鲁棒稳定性 线性矩阵不等式(LMI) Lyapunov泛函 |
| 文章编号： | 0372-2112（2007）01-0135-06 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005-04-112006-08-26 |
New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays |
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| JI Ce,ZHANG Hua-guang,GUAN Huan-xin.New Criteria for Robust Stability of Cohen-Grossberg Neural Networks with Multiple Delays[J].Acta Electronica Sinica,2007,35(1):135-140. |
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| Authors: | JI Ce ZHANG Hua-guang GUAN Huan-xin |
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| Affiliation: | Institute of Information Science and Engineering,Northeastern University,Shenyang,Liaoning 110004,China |
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| Abstract: | Global robust stability of a class of Cohen-Grossberg neural networks with multiple delays and parameter perturbations is analyzed.By way of constructing a suitable Lyapunov functional,the criteria expressed by the form of linear matrix inequality(LMI) are given for the global robust stability of equilibrium point.In addition,all results are established without assuming any symmetry of the interconnecting matrix,and the differentiability and monotonicity of activation functions.The simulation samples have proved the effectiveness of the conclusion. |
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| Keywords: | cohen-grossberg neural networks multiple delays parameter perturbations robust stability linear matrix inequality(LMI) lyapunov functional |
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